Question

How to find the area and what’s the correct answer

Answer 1

What you're seeing here is a rectangle attached to a semi-circle.

To find the area of a rectangle, multiply the length times the width. (lw)

To find the area of a semi-circle, use this formula:

$\frac{1}{2} \pi \times {r}^{2}$

To find your answer, first get the two dimensions of the rectangle

$l = 7 \: w \:= 3$

and multiply.

$lw = 21$

Now look at the semi-circle. We can see that it has a diameter of 3. Since the radius is equal to half, 1/2 the diameter, our radius is then 1.5.

$\frac{1}{2} \times \pi \times {1.5}^{2}$

We can also calculate this manually:

$0.5 \times 3.14 \times 1.5 \times 1.5$

Add the dimensions of both objects together now.

$21 + 3.5325 = 24.5325 \: cm {}^{2}$

Your geometric figure has a total area of 24.5325 cm.